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Finding the Third Proportional to 159,574 and 242,817

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Solution

The third proportional to 159,574 and 242,817 is: 369,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,574 : 242,817 = 242,817 : x
  2. Step 2: Convert to fraction form
    159,574/242,817 = 242,817/x
  3. Step 3: Cross multiply
    159,574x = 242,817 × 242,817
  4. Step 4: Simplify right side
    159,574x = 58,960,095,489
  5. Step 5: Solve for x
    x = 58,960,095,489/159,574
  6. Step 6: Final answer
    x = 369,484.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.